Theorem bnj1350

Description: First-order logic and set theory. (Contributed by Jonathan Ben-Naim, 3-Jun-2011) (New usage is discouraged.)

	Ref	Expression
Hypothesis	bnj1350.1	|- ( ch -> A. x ch )
Assertion	bnj1350	|- ( ( ph /\ ps /\ ch ) -> A. x ( ph /\ ps /\ ch ) )

Proof

Step	Hyp	Ref	Expression
1		bnj1350.1	|- ( ch -> A. x ch )
2		ax-5	|- ( ph -> A. x ph )
3		ax-5	|- ( ps -> A. x ps )
4	2 3 1	hb3an	|- ( ( ph /\ ps /\ ch ) -> A. x ( ph /\ ps /\ ch ) )